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Finding the Fourth Proportional to 61,062, 84,265.56 and 34,566

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Solution

The fourth proportional to 61,062, 84,265.56 and 34,566 is: 47,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,062 : 84,265.56 = 34,566 : x
  2. Step 2: Convert to fraction form
    61,062/84,265.56 = 34,566/x
  3. Step 3: Cross multiply
    61,062x = 84,265.56 × 34,566
  4. Step 4: Simplify right side
    61,062x = 2,912,723,346.96
  5. Step 5: Solve for x
    x = 2,912,723,346.96/61,062
  6. Step 6: Final answer
    x = 47,701.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.